Time remaining:
Factoring quadratic functions

Mathematics
Tutor: None Selected Time limit: 0 Hours

How do you use the "factor fish" method to factor quadratic exponentials?
Jun 2nd, 2014

Factor –6x2 + 15x + 36

First, I will first remove the common factor of 3, taking the leading negative sign with it:

–6x2 + 15x + 36 = –3(2x2 – 5x – 12)

Then I'll factor the remaining quadratic: 2x2 – 5x – 12 = (x – 4)(2x + 3):

When I write down my answer, I need to remember to include the –3 factor:

–6x2 + 15x + 36 = –3(x – 4)(2x + 3).

A disguised version of this factoring-out-the-negative case is when they give you a backwards quadratic where the squared term is subtracted. For example, if they give you something like 6 + 5x + x2, you would just reverse the quadratic to put it back in the "normal" order, and then factor: 6 + 5x + x2 = x2 + 5x + 6 = (x + 2)(x + 3). You can do this because order doesn't matter in addition. In subtraction, however, order does matter, and you need to be careful with signs.


Jun 2nd, 2014

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Jun 2nd, 2014
...
Jun 2nd, 2014
Dec 6th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer